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Finding the Third Proportional to 46,255,746.75 and 102,851,323.50

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Solution

The third proportional to 46,255,746.75 and 102,851,323.50 is: 228,693,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,255,746.75 : 102,851,323.50 = 102,851,323.50 : x
  2. Step 2: Convert to fraction form
    46,255,746.75/102,851,323.50 = 102,851,323.50/x
  3. Step 3: Cross multiply
    46,255,746.75x = 102,851,323.50 × 102,851,323.50
  4. Step 4: Simplify right side
    46,255,746.75x = 10,578,394,745,701,652
  5. Step 5: Solve for x
    x = 10,578,394,745,701,652/46,255,746.75
  6. Step 6: Final answer
    x = 228,693,632.44

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.